A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing % of employees in the country have changed jobs in the past four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs in the past four years is not nothing %. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State Upper H 0 and Upper H Subscript a . Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Upper H 0 : pgreater than or equals nothing Upper H Subscript a : pless than nothing B. Upper H 0 : pless than nothing Upper H Subscript a : pgreater than or equals nothing C. Upper H 0 : pless than or equals nothing Upper H Subscript a : pgreater than nothing D. Upper H 0 : pnot equals nothing Upper H Subscript a : pequals nothing E. Upper H 0 : pequals nothing Upper H Subscript a : pnot equals nothing F. Upper H 0 : pgreater than nothing Upper H Subscript a : pless than or equals nothing (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z 0 equalsnothing (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The rejection region is zless than nothing . B. The rejection regions are zless than nothing and zgreater than nothing . C. The rejection region is zgreater than nothing . D. The rejection region is nothing less thanzless thannothing . (c) Find the standardized test statistic z. zequals nothing (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is not is enough evidence to ▼ reject support
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A research center claims that more than
of employees in a certain country have changed jobs in the past
years. In a random sample of
people from that country,
have changed jobs in the past
years. At
equals0.05
and
of employees in the country have changed jobs in the past
of employees in the country have changed jobs in the past
of employees in the country have changed jobs in the past
years is not
years. State
and
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
nothing
equalsnothing
nothing
nothing
and
nothing
nothing
less thanzless thannothing
nothing
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